trigonometry

trigonometry

1. Sine rule

   • a/sinA=b/sinB=c/sinC
   • Cosine rule
     • c^2=a^2+b^2-2*a*bcos(C)

2. Area of the triangle

   • Area=1/2*base*heigt
   • 1/2ab sinC

3. cos^2(x)+sin^2(x)=1

4. Trigonometric identity

   • Tan (x) =sin (x) /cos (x)

5. Pithagrom identity

6. double angle identity

   • sin(2x)=2sin(x)cos(x)
   • cos(2x)=cos^2(x)-sin^2(x)

7. sin(30)=1/2

   • sin(45)=sqrt2/2
     • sin(60)=sqrt3/2
       • sin(90)=1
   • sin(0)=0

8. cos(30)=sqrt3/2

   • cos(45)=sqrt2/2
     • cos(60)=1/2
       • cos(90)=0
   • cos(o)=1

9. tan(0)=0

   • tan(30)=sqrt3/3
     • tan(45)=1
       • tan(60)=sqrt3
         • tan(90)=undefined

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